You should be able to make a basic DDx for most patients walking through the door. It's tough because most patients are such standard slam-dunk diagnoses, it's sometimes hard to necessiate a real DDx without it seeming like an exercise in mental masturbation. For example, a patient with PMHx CHF with 8 hospitalizations eats a cheeseburger, has SOB 1 hour after wards, non-responsive to bronchodilators. + Edema B/L, wet rales audible in bases B/L. What is his diagnosis? Well, 99% of the time it's a CHF exacerbation.
Don't commit so early. You've described what you found
after the history and physical, so yes, you should have a pretty good idea of the diagnosis by that point. However, your ability to start focusing in on the real diagnosis will be greatly improved by having the proper differential dx in mind, and then start narrowing in your questioning as you go. Back pain could be pyelonephritis, aortic dissection, or a muscle strain. Obviously, we all assign some probability to the likelihood of each situation, because a young man probably won't show up with an aortic dissection, but you might think differently if he's got a Marfanoid habitus.
This doesn't mean you have to be silly and consider all causes of fever of unknown origin when someone shows up with an indwelling Foley, positive UA, and findings of sepsis, but I've seen someone admitted for urosepsis that turned out to have Fournier's gangrene. Perhaps the diagnosis was occult on his initial presentation, but I bet that someone might have been tipped off if they'd looked. I've seen RUQ pain, history of biliary colic, tender to palpation, high white count....and it was pneumonia.
My point is that you should consider your differential as your progress through your H&P, not that you necessarily need a long list of potential but highly improbable diagnoses on your differential after you've seen the patient. Common diseases frequently present in uncommon ways. When I get a surgery consult from our cardiac unit, it's often cholecystitis, because these patients originally showed up in the ED with chest/epigastric pain.